Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/35 and 28/9

1st number: 1 5/35, 2nd number: 3 1/9

40/35 + 28/9 is 268/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 9 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 35 × 9 = 315,
    40/35 = 40 × 9/35 × 9 = 360/315
  3. Likewise, for the 2nd fraction, since 9 × 35 = 315,
    28/9 = 28 × 35/9 × 35 = 980/315
  4. Add the two like fractions:
    360/315 + 980/315 = 360 + 980/315 = 1340/315
  5. 1340/315 simplified gives 268/63
  6. So, 40/35 + 28/9 = 268/63
    In mixed form: 416/63

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related:

© everydaycalculation.com